01.00.00 Physical-mathematical sciences
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REDUCTION OF BOUNDARY-VALUE PROBLEM FOR A PLANE ELASTIC BODY TO A SINGULAR INTEGRAL EQUATION
01.00.00 Physical-mathematical sciences
DescriptionThe boundary-value problem for a plane elastic body with external and internal stress concentrators has been analytically solved in this article by means of a singular integral equation. Derivation of this equation and general and particular solutions of the equation are represented
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APPLIED STATISTICS – THE STATE AND THE PROSPECTS
01.00.00 Physical-mathematical sciences
DescriptionApplied Statistics - the science of how to analyze the statistical data. As an independent scientificpractical area it develops very quickly. It includes numerous widely and deeply developed scientific directions. Those who use the applied statistics and other statistical methods, usually focused on specific areas of study, ie, are not specialists in applied statistics. Therefore, it is useful to make a critical analysis of the current state of applied statistics and discuss trends in the development of statistical methods. Most of the practical importance of applied statistics justifies the usefulness of the work on the development of its methodology, in which the field of scientific and applied activities would be considered as a whole. We have given some brief information about the history of applied statistics. Based on Scientometrics of Applied Statistics we state that each expert has only a small part of accumulated knowledge in this area. We discuss five topical areas in which modern applied statistics develops, ie five "points of growth": nonparametric, robustness, bootstrap, statistics of interval data, and statistics of non-numerical data. We discuss some details of the basic ideas of a non-numerical statistics. In the last more than 60 years in Russia, there has been a huge gap between official statistics and the scientific community of experts on statistical methods
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01.00.00 Physical-mathematical sciences
DescriptionThe article investigates the first boundary problem for the partial differential equations of the second order with deviating argument. The method of separation of variables is used to prove the solubility of the boundary problem in the desired class of functions
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APPLICATION OF INFORMATION THEORY AND A.S.C. ANALYSIS FOR EXPERIMENTAL RESEARCH IN NUMBER THEORY
01.00.00 Physical-mathematical sciences
DescriptionIs it possible to automate the study of the properties of numbers and their relationship so that the results of this study can be formulated in the form of statements, indicating the specific quantity of information stored in them? To answer this question it is offered to apply the same method that is widely tested and proved in studies of real objects and their relations in various fields to study the properties of numbers in the theory of numbers namely - the automated system-cognitive analysis (A.S.C. analysis), based on information theory
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GENERAL RELATIVITY AND THEORY OF ELECTROMAGNETIC DRIVE
01.00.00 Physical-mathematical sciences
DescriptionThe article presents the theory of the electromagnetic type of rocket motor. The apparatus consists of a magnetron and a conical cavity in which electromagnetic oscillations are excited. We explain the mechanism of trust in such a device based on Maxwell's theory and the Abraham force. We built a dynamic model of the motor and calculated the optimal parameters. It is shown, that the laws of conservation of momentum and energy for the rocket motor of electromagnetic type are true, taking into account the gravitational field. In simulation, the movement used the theory of relativity. The source of the motion in an electromagnetic drive is the mass conversion in various kinds of radiation. The optimization of the operating parameters of the device is done, namely by the excitation frequency, the magnitude of heat losses of electromagnetic energy by thermal radiation in the IR spectrum, the parameters of heat transfer and forced from the temperature dependence of the resistance of the material of the cavity walls. It was found that the effective conversion of electromagnetic energy in the trust force necessary to minimize the deviation of the excitation frequency of the primary resonance frequency of the cavity. The mechanism of formation of trust under change the metrics of space-time, taking into account the contribution of the Yang-Mills theory and electromagnetic field tensor of energymomentum has been proposed
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REASONS OF ELECTRO CONVECTION IN ELECTRO MEMBRANE SYSTEMS
01.00.00 Physical-mathematical sciences
DescriptionIn the article, the reasons of occurrence and development of electro convection in electro membrane systems are analyzed. The basic rules of occurrence and development of process of electro convection in the channel desalination of electro dialysis apparatus are revealed
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THE PROBLEMS OF IMPLEMENTATION OF MATHEMATICAL AND TOOL METHODS OF CONTROLLING
01.00.00 Physical-mathematical sciences
DescriptionStatistical methods are based on the developed theory and demonstrated its usefulness in the sectors of the economy. However, the analysis of the situation in the application of statistical methods shows obvious distress, in which accumulated in our country's scientific potential is not used to the full. As practice shows, it is not enough to develop promising modern theory-based effective mathematical and instrumental methods of controlling. For using such methods in mass, it is necessary that they would be implemented. Management of innovations, i.e. innovation management, quite rightly is currently one of the most debated sections of the economy and the organization of production, of the entire economic science in general. However, the implementation of applied statistics and other statistical methods, more generally, mathematical and instrumental methods of controlling, has its own specifics. It is considered in the article. We have highlighted the developmental vulnerabilities - low scientific level of many individuals applying statistical methods, the lack of organizational structure of applied statistics as a field of applied activities and others. We regret to note that the very idea of the need to establish requirements for the methods of data analysis and project formulations such requirements remained outside the attention of those professionals who need them and were addressed. We have no adequate system of guidance for documents on concrete statistical methods performed on modern scientific level. According to the author, the desired future of applied statistics is reorganization according to the model of Metrology. We have analyzed the application of statistical methods as a specialty. The analysis of state standards on statistical methods and the causes of them blunders are given. We have discussed the status of documents for statistical methods for standardization and quality control. We discuss a new system of "Six Sigma" for implementation advanced mathematical and instrumental methods of controlling
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01.00.00 Physical-mathematical sciences
DescriptionCurrently, the majority of scientific, technical and economic studies use statistical methods developed mainly in the first third of the XX century. They constitute the content of common textbooks. However, mathematical statistics are rapidly developing in the next 60 years. In some situations there is a need of the transition from classical to modern methods. As an example, we discuss the problem of testing the homogeneity of two independent samples. We have considered the conditions of applicability of the traditional method of testing the homogeneity based on the use of Student's t-statistic, as well as more up-to-date methods. We describe a probabilistic model of generation of statistical data in the problem of testing the homogeneity of two independent samples. In terms of this model the concept of "homogeneity" ("no difference"), can be formalized in different ways. High degree of homogeneity is achieved if the two samples are taken from one and the same population (absolute homogeneity). In some cases it is advisable to testing the coincidence of some characteristics of the elements of the sample - mathematical expectations, medians, variances, coefficients of variation, and others (testing the homogeneity of characteristics). To test the homogeneity of mathematical expectations is often recommended classic t-test. It is believed that the samples taken from a normal distributions with equal variances. It is shown that for scientific, technical and economic data the preconditions of two-sample t-test usually are not performed. To test the homogeneity of mathematical expectations instead of t-test we have offered to use the Cramer-Welch test. We have considered the consistent nonparametric Smirnov and Lehmann-Rosenblatt tests for absolute homogeneity
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FORECAST OF INFORMATION AND COMMUNICATION TECHNOLOGIES
01.00.00 Physical-mathematical sciences
DescriptionForecasting of scientific and technical progress is necessary to make grounded management decisions. In this article, we forecast the development of information and communication technologies in order to solve a particular but important issue of design of professional standards in the aerospace industry. We identify the factors affecting the development of information and communication (computer) technologies, with their help determine the trends of development of these technologies over the next two decades. The main trend - the maximum cheaper production of computer (or network) components, combined with an increase in their capacity. One way to reduce the cost of production is the "centralization" - combining several components into one. The third trend - the desire to reduce the size of computers. The size of a future computer could be a device the size of a pencil, a pin or button, as the system unit has a negligible size, keyboard and display are virtual, transfer any amount of information through a virtual office online. The development of secure free copying will lead to increased use of this free software and technologies "rental program" over the Internet. We predict an increase in reliability and intensive programs while maintaining the general principles of the interface. Revolutionary changes are expected production (machines, sensors), and household appliances
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FORECASTING THE WATER LEVEL IN A RIVER WITH THE ABRUPT FALLING WATER BASED ON KALMAN-BUSY FILTRATION
01.00.00 Physical-mathematical sciences
DescriptionThe technique of short-term forecasting of the water level in a vein of a mountain type river, based on a method of Kalman-Busy filtration in the make assumption of natural simplifications, characterized for natural objects is offered